What is the Greatest Common Factor of 50820 and 50827?

Greatest common factor (GCF) of 50820 and 50827 is 7.

GCF(50820,50827) = 7

We will now calculate the prime factors of 50820 and 50827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50820 and 50827.

How to find the GCF of 50820 and 50827?

We will first find the prime factorization of 50820 and 50827. After we will calculate the factors of 50820 and 50827 and find the biggest common factor number .

Step-1: Prime Factorization of 50820

Prime factors of 50820 are 2, 3, 5, 7, 11. Prime factorization of 50820 in exponential form is:

50820 = 2² × 3¹ × 5¹ × 7¹ × 11²

Step-2: Prime Factorization of 50827

Prime factors of 50827 are 7, 53, 137. Prime factorization of 50827 in exponential form is:

50827 = 7¹ × 53¹ × 137¹

Step-3: Factors of 50820

List of positive integer factors of 50820 that divides 50820 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 121, 132, 140, 154, 165, 210, 220, 231, 242, 308, 330, 363, 385, 420, 462, 484, 605, 660, 726, 770, 847, 924, 1155, 1210, 1452, 1540, 1694, 1815, 2310, 2420, 2541, 3388, 3630, 4235, 4620, 5082, 7260, 8470, 10164, 12705, 16940, 25410

Step-4: Factors of 50827

List of positive integer factors of 50827 that divides 50820 without a remainder.

1, 7, 53, 137, 371, 959, 7261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50820 and 50827. The biggest common factor number is the GCF number.
So the greatest common factor 50820 and 50827 is 7.

Also check out the Least Common Multiple of 50820 and 50827